ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle.

Answer:

they will each get 45 bracelets

Step-by-step explanation:

add all the bracelets then divide by the number of girls

Answer:

B= 5

Step-by-step explanation:

took the test

Answer:

1/6075

Step-by-step explanation:

Answer:

The egg hits the ground after 2.5 seconds.

Step-by-step explanation:

Height of the egg:

The height of the egg after t seconds is given by:

[tex]h(t) = 100 - 16t^2[/tex]

After how many seconds does the egg hit the ground?

This is t for which [tex]h(t) = 0[/tex]. So

[tex]h(t) = 100 - 16t^2[/tex]

[tex]16t^2 - 100 = 0[/tex]

[tex]16t^2 = 100[/tex]

[tex]t^2 = \frac{100}{16}[/tex]

[tex]t = \sqrt{\frac{100}{16}}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

The egg hits the ground after 2.5 seconds.

Answer:

Not necessarily

Step-by-step explanation:

Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.

Answer:

91in^2

Step-by-step explanation:

SA of base =  7x7 = 49in^2

SA of each triangle = 1/2 x 7 x 3 = 10.5in^2

SA of all 4 triangles = 10.5 x 4 = 42in^2

SA Total = 49 + 42.= 91inch^2

2yrds/8= 9 inches

9 inches are needed to make 1 bag

:)

The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

2 yards of fabric for 8 bags,

y/x = 8/2 = 4

y = 4x

Hence "The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x".

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Answer:

142.5 cm2

Step-by-step explanation:

The small markings create a new height, so that would be 9.5 cm.

Multiply:

9.5x15=142.5

Therefore, the area is 142.5 cm2

Answer: 2,1 & 2

Step-by-step explanation:

[tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)] = \frac{-1}{3}[/tex],  [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

"A limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value."

We have Limit functions

[tex]\lim_{x \to c} f(x)[/tex] [tex]= \frac{1}{3}[/tex]

[tex]\lim_{x \to c} g(x)[/tex] = [tex]\frac{2}{3}[/tex]

(i) [tex]\lim_{x \to c} [3g(x)] = 3 \lim_{x \to c} [g(x)][/tex]

= [tex]3[/tex] × [tex]\frac{2}{3}[/tex]

= 2

(ii) [tex]\lim_{x \to c}[f(x)+g(x)][/tex]

= [tex]\lim_{x \to c} f(x)+ \lim_{x \to c} g(x)[/tex]

= [tex]\frac{1}{3}-\frac{2}{3}[/tex]

= [tex]\frac{1-2}{3}[/tex]

= [tex]\frac{-1}{3}[/tex]

(iii) [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ][/tex]

= [tex]\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}[/tex]

= [tex]\frac{\frac{1}{3} }{\frac{2}{3} }[/tex]

= [tex]\frac{1}{2}[/tex]

∴ [tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)][/tex] = [tex]\frac{-1}{3}[/tex] , [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

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Answer:

( 2 x + 1 ) ( 3 x + 2)

Step-by-step explanation:

srry, i could only do the first one-

Answer:

b, c , a

Step-by-step explanation:

I am guessing

Answer:

B, C, D

Step-by-step explanation:

Answer:

Step-by-step explanation:

What's a squirt? Did you mean sport for the word for?

So there are 15 separate students in all who play a sport and an instrument. There are 4 more that play an instrument, but not a sport.

There are 8 that that do not play an instrument including 2 that don't do either.

So the total is 15 + 4 + 8 = 27

My best guess is that 15 out of 27

P(sport and instrument) = 15 /27  = 5/9 or 0.556

Answer:

The answer would be 2. Which means that your answer would be option 1 I believe.

Step-by-step explanation:

Answer:

B. No

Step-by-step explanation:

I calculated it logically

Answer: I got ~17% (It's 17% as the problem asked for the answer to be rounded)

Step-by-step explanation:

I added the 12 possible chances from the spinner with the 6 sided die chances. This gets me 18. Since the problem is asking the probability of rolling an 8 or 10 alongside a 3, I did 3/18 and got 16.66% (repeating). I'm not entirely sure if I did this right, but I hope this helped somehow. Let me know if it's not the correct answer.

Step-by-step explanation:

[tex]midpoint = ( \frac{4.9 + - 5.2}{2} , \: \frac{ - 1.3 + - 0.6}{2} ) \\ = ( - 0.15, \: - 0.95)[/tex]

Answer:

D) Consistent and Independent

Answer:

D.consistent and independent

Answer:

9 pi

Step-by-step explanation:

Answer:

28.274 cm^2 (remember units are important)

Step-by-step explanation:

The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:

A = pi(r^2)

here the radius is 1/2 the diameter of 6 cm:

A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2

Answer:

13 feet

Step-by-step explanation:

This is a right triangle problem

Use the Pythagorean Theorem

c² = a² + b²

c² = 12² + 5²

c² = 144 + 25

c² = 169

Take the square root of both sides

c = 13

Answer:

The number of red pencils is 2 times the number of yellow pencils

Answer:

(A) Your friend will save $282.

(B) Your friend will get 23.5% off the original price of the mattress.

Step-by-step explanation:

We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.

1,200 x 15% -----> 1,200 x 0.15= 180.

15% of $1,200 is $180.

Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.

1,020 x 10% ------> 1,020 x 0.10= 102.

10% of $1,020 is $102.

Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.

We subtract to see how much money the friend saved.

$1,200 - $918= $282.

We can get the percentage by dividing $282 by $1,200.

282 / 1200= 0.235 decimal form ----> 23.5%

Answer:

[tex] - 17y−16z+4[/tex]

Step-by-step explanation:

[tex] - y+9z−16y−25z+4[/tex]

[tex] - 17y+9z−25z+4[/tex]

[tex] - 17y−16z+4[/tex]

Answer:

its 4

Step-by-step explanation:

.........................................

Answer:

221mile per day

Step-by-step explanation:

Mean=total distance her car traveled/days

11477-10150=1327

1327/6=221.167≈221mi

Answer:

Option 4

Step-by-step explanation:

Given function is,

[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Step 2,

Interchange the variables 'x' and 'y',

[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]

Step 3,

Solve the equation for the value of y,

[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]

[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]

[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]

[tex]-3x+\frac{15}{2}=10y[/tex]

[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]

[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]

Step 4,

Convert the equation into inverse function,

[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]

For x-intercepts,

Substitute y = 0,

[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]

[tex]\frac{3}{10}x=\frac{3}{4}[/tex]

[tex]x=\frac{10}{4}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2\frac{1}{2}[/tex]

Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].

Option 4 will be the answer.

Answer:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

Step-by-step explanation:

Fromproblem statement:

                                    weight (lb) .          Profit $

Denim jeans                    2.1                         40

CD players                       3.2                        48

Compact Discs                0.8                        16

Objective Function z is:

z = 40*x₁  + 48*x₂ + 16*x₃             to maximize

Subject to:

Weight constrain:    5 lb

2.1*x₁  +   3.2*x₂   + 0.8*x₃

x₁≥ 0   x₂  ≥ 0        x₃ ≥ 0      All integers

Using AtomZmath on-line solver and after 2 iterations

Solution:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

The maximized profit is the highest profit Juan can get by selling his items.

The maximized profit is $96

Let x represents the Denim jeans, y represents the CD players and z represent the compact discs.

So, we have the following parameters

Weights

[tex]x = 2.1[/tex]

[tex]y = 3.2[/tex]

[tex]z = 0.8[/tex]

The weight cannot exceed 5 pounds.

So, the constraint is

[tex]2.1x + 3.2y + 0.8z \le 5[/tex]

The profit is given as:

[tex]x = 40[/tex]

[tex]y = 48[/tex]

[tex]z = 16[/tex]

So, the objective function to maximize is

[tex]Max\ Z = 40x + 48y + 16z[/tex]

The integer programming model is then represented as:

[tex]Max\ Z = 40x + 48y + 16z[/tex]

Subject to:

[tex]2.1x + 3.2y + 0.8z \le 5[/tex]

[tex]x,y,z \ge 0[/tex]

Using a graphing calculator, the values that maximize the objective function are:

[tex]x = 2[/tex]

[tex]y = 0[/tex]

[tex]z = 1[/tex]

Substitute these values in the objective function

[tex]Max\ Z = 40x + 48y + 16z[/tex]

[tex]Z = 40 \times 2 + 48 \times 0 + 16 \times 1[/tex]

[tex]Z = 80 + 0 + 16[/tex]

[tex]Z = 96[/tex]

Hence, the maximized profit is $96

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